Given that the OP has stated that he doesn't want any Greek descendants either, Cyrillic won't work :\
(Hell, given that the Greek alphabet is basically just a mirrored Phoenician alphabet, we might wanna exclude any of that one's descendants as well, which includes things from Arabic to Mongolian)
Technically, Arabic and most of everything alphabetic east of Syria derives from the
Aramaic scripts, not from Phoenician ones. Of course, both share a common source (attested in Proto-Sinaitic, though it is a misnomer).
Anyway, the Greek family of scripts did change from its Phoenician antecedents in much more than just reversing the dominant direction of writing: for instance, they consistently added vocalic notation, which few Semitic scripts did (though it happened).